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复射影空间中全实子流形的刚性
周俊东¹, 徐传友¹, 宋卫东²
1.阜阳师范学院数学与金融学院, 安徽阜阳 236023;2.安徽师范大学数学与计算机科学学院, 安徽芜湖 241000

摘要:

本文研究了复射影空间中的全实子流形.通过使用活动标架的方法和DDVV不等式,得到了两个刚性定理和一个积分不等式,改进了相关的结果.

关键词: 复射影空间伪脐子流形截面曲率

DOI：

分类号:O186.12

基金项目:Supported by National Natural Science Foundation of China (11101352);Natural Science Foundation of Anhui Educational Committee (KJ2013Z263);Provincial Natural Science Research Programme Foundation of Anhui's Universities (2014KJ002)

THE RIGIDITY OF TOTALLY REAL SUBMANIFOLDS IN A COMPLEX PROJECTIVE SPACE

ZHOU Jun-dong¹, XU Chuan-you¹, SONG Wei-dong²

1.School of Mathematics and Finance, Fuyang Normal College, Fuyang 236037, China;2.School of Math. and Computer Science, Anhui Normal University, Wuhu 241000, China

Abstract:

In this paper, we investigate totally real submanifolds in a complex projective space. By using moving-frame method and the DDVV inequality, we obtain two rigidity theorems and an integral inequality, improve the related results.

Key words: complex projective space pseudo-umbilical submanifolds sectional curvature